derivative of (x+ln(x)^5)

Lösung

\frac{d}{d x} ((x + ln (x))^{5})

5 (x + ln (x))^{4} (1 + \frac{1}{x})

Schritte zur Lösung

\frac{d}{d x} ((x + ln (x))^{5})

Wende die Kettenregel an:

5 (x + ln (x))^{4} \frac{d}{d x} (x + ln (x))

= 5 (x + ln (x))^{4} \frac{d}{d x} (x + ln (x))

\frac{d}{d x} (x + ln (x)) = 1 + \frac{1}{x}

= 5 (x + ln (x))^{4} (1 + \frac{1}{x})

\frac{\partial}{\partial x} (x y + yz - x z)

x \to 0 lim ((1 - 2 x)^{\frac{1}{x ^{2}}})

f (x) = sin^{2} (x)

\int_{0}^{\frac{π}{2}} - 7 cos^{5} (x) d x

y^{^{''}} + 4 y^{^{'}} + 11 y = 0